PDG contains various mesons denoted with the letter \(\rho \)  [1]} . These are the isovector resonances with quantum number of isospin (\(I=1\) ), of parity \((P=-1)\) , and of charge conjugation (\(C=-1\) ). For instance, the vector mesons \(\rho (770)\)  with  quantum number \(J^{PC}=1^{--}\)  [2]}, the  excited vector mesons \(\rho (1450)\) , \(\rho (1700)\)  [3]}, [4]}, [5]}, and the tensor meson \(\rho _3(1690)\)  with quantum number \(J^{PC}=3^{--}\)  [6]}.  Despite the prediction of the \(\rho _2\)  in the Relativistic Quark model [7]},  it is still missing experimentally. We only  have the following data which were observed from different experimental groups and listed as “further states” in PDG [1]}: \( \rho _2(1940)\)  and \( \rho _2(2225)\)  with the total decay widths  \(\Gamma ^{\text{tot}}_{\rho _2(1940)} \simeq 155 \pm 40 \)  MeV and   \(\Gamma ^{\text{tot}}_{\rho _2(2225)} \simeq 335^{+100}_{-50}\)  MeV accordingly.   Axial tensor mesons are studied in  recent LQCD simulations [9]}, where the authors consider the mass of \(\rho _2\)  is about \(1.7\)  GeV as the \(\rho _3(1690)\) . We present the results about the  missing \(\rho _2\)  [10]}  within a chiral effective model which is so-called the extended Linear Sigma Model (eLSM) [2]}.
